Question

Из двух городов навстречу друг другу в 9 часов утра отправились два лыжника. один из них шел до встречи 4 часа со скоростью 18 км. в час. другой прошел на 8 км. меньше. на каком расстоянии друг от друга находятся поселки? чему равна скорость второго лыжника? на сколько км в час лыжники приближались к друг другу? на каком расстоянии друг от друга они оказались через два часа?

Answer 1

1)18*4=72(км) - расстояние прошел І лыжник до встречи

2)72-8=64(км) - расстояние прошел ІІ лыжник до встречи

3)72+64=136(км) - расстояние между поселками

4)64:4=16(км.ч) - скорость ІІ лыжника

5)18+16=34(км/ч) - на 34 км в час лыжники приближались друг к другу

6) 34*2=68(км) - прошли лыжники за 2 часа

7) 136-68=68(км) - расстояние между лыжниками через 2 часа .

Answer 2

Problem Analysis

Two skiers set off towards each other from two different cities at 9:00 am. One skier walks for 4 hours at a speed of 18 km/h, while the other skier walks 8 km less. We need to determine the distance between the two skiers, the speed of the second skier, the rate at which the skiers are approaching each other, and the distance between them after two hours.

Solution

Let's break down the problem step by step:

1. The first skier walks for 4 hours at a speed of 18 km/h. Therefore, the distance covered by the first skier is 4 hours * 18 km/h = 72 km.

2. The second skier walks for the same amount of time but at a speed 8 km less than the first skier. Let's denote the speed of the second skier as x km/h. Therefore, the distance covered by the second skier is 4 hours * (18 km/h - 8 km/h) = 4 hours * 10 km/h = 40 km.

3. The distance between the two skiers is the sum of the distances covered by each skier. Therefore, the distance between the two skiers is 72 km + 40 km = 112 km.

4. To find the speed of the second skier, we can set up the following equation: x km/h = 18 km/h - 8 km/h = 10 km/h.

5. The rate at which the skiers are approaching each other is the sum of their speeds. Therefore, the rate at which the skiers are approaching each other is 18 km/h + 10 km/h = 28 km/h.

6. To find the distance between the skiers after two hours, we can multiply the rate at which they are approaching each other by the time. Therefore, the distance between the skiers after two hours is 28 km/h * 2 hours = 56 km.

Summary

Based on the given information, we can conclude the following:

- The distance between the two skiers is 112 km. - The speed of the second skier is 10 km/h. - The skiers are approaching each other at a rate of 28 km/h. - After two hours, the distance between the skiers is 56 km.

Please let me know if I can help you with anything else.